How do I calculate the phase integral for the Bond albedo in astrophysics?

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To calculate the Bond albedo for an extrasolar planet, understanding the phase integral is crucial. The phase integral accounts for how light is scattered by the planet's surface and atmosphere, influencing the overall reflectivity. It is calculated using the geometric albedo and requires knowledge of the phase function, which describes how brightness varies with the phase angle. Key variables include the phase angle, the geometric albedo, and the integral over the phase function. Clear explanations of these variables and their relationships are essential for accurate calculations in astrophysics.
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Hi,

Im doing an IB Extended essay on astrophysics, on the planning stage.

My aim is to calculate the surface temperature of an extrasolar planet.

I have most of the caculations done, but I am stuck on just one part - calculating the Bond albedo of the planet. I know what the geometric albedo is, but how do I calculate the phase integral?

Thanks

P.S
Pls don't just post the formula for the phase integral... pls explain what all of the variables actually stand for
 
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